Grant senses are affected by oddity (11)
I believe the answer is:
strangeness
'oddity' is the definition.
(I've seen this before)
'grant senses are affected' is the wordplay.
'are affected' is an anagram indicator.
'grant'+'senses'='grantsenses'
'grantsenses' is an anagram of 'STRANGENESS'.
'by' is the link.
(Other definitions for strangeness that I've seen before include "Odd quality" , "Oddity" , "One of the six quark flavours" , "Quark flavour; odd state" .)